Plotting a categorized dot (scatter?) plot

I am trying to plot the values in a matrix M such that each column in M is plotted along a distinct vertical line on the x axis. Ideally, I could name each cluster of values with a string (much like a bar or boxplot)

Unfortunately I don't know the exact name of the plot I am trying to recapitulate but it seems like the closest alternative matlab has is the boxplot. If anyone knows the name of the plot I am trying to create, a function capable of doing this or an effective work around, I would be highly appreciative.